Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/260,459/423
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 81,459
Greatest Common Factor of Numerators i.e. GCF of 81,459 is 27 .
LCM of Denominators means LCM of 260,423 as per the given fractions.
LCM of 260,423 is 109980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,459
3 | 81, 459 |
3 | 27, 153 |
3 | 9, 51 |
3, 17 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 81,459 . The biggest common factor number is the GCF number.
So the greatest common factor 81,459 is 27.
Lets's calculate LCM of 260,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 109980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/109980
Therefore, the GCF of Fractions 81/260,459/423 is 27/109980
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 260,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(260,423) x common factors =1 x 1 = 1
LCM(260,423) = ( 260 × 423 ) / 1
LCM(260,423) = 109980 / 1
LCM(260,423) = 109980
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 81/260, 459/423?
Answer: GCF of Numerators as per given numbers 81/260, 459/423 is
GCF of Numerators i.e. for 81,459 is 27
LCM of denominators i.e. for 260,423 is 109980.
Thus, GCF of Fractions is 27/109980.Finally, GCF of Fractions for 81/260, 459/423 is 27/109980.